((-5)+3)(-7) = 14
(-2)(-7) = 14
14 = 14
True
A is a solution.
((-1)+3)(7) = 14
(2)(7) = 14
14 = 14
True
B is a solution.
((10)+3)(-2) = 14
(13)(-2) = 14
-26 = 14
False
C is not a solution.
((11)+3)(1) = 14
(14)(1) = 14
14 = 14
True
D is a solution.
<h3>
Answer:</h3>
(2x + 1)(x + 3)
<h3>
Step-by-step explanation:</h3>
It is probably easier to try the answer choices than to try to factor the expression yourself.
(2x + 2)(x + 1) = 2x² +4x +2
(2x + 3)(x + 1) = 2x² +5x +3
(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice
_____
<em>Constructed solution</em>
If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.
... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7
Now, rewrite the x term using the sum of these numbers.
... 2x² +(1 +6)x +3
... 2x +x +6x +3 . . . . eliminate parentheses
... (2x +x) +(6x +3) . . . . group pairs of terms
... x(2x +1) +3(2x +1) . . . . factor each pair
... (x +3)(2x +1) . . . . . . matches the last selection
Answer: 60°
Step-by-step explanation:
p=15250
r=7.5/100=0.075
y = 15250*(1 - 0.075)^x
after 8 years it would be
x = 8
y = 15250*(1 - 0.075)^8
y = $8,173.42
after 8 years the value of the car is going to be $8,173.42